# Mathematical Reasoning Questions and Answers

Welcome all participants to this blog of Mathematical Reasoning Questions and Answers Mathematical Reasoning is a major component of this problem-solving and critical thinking. Wherein mathematical reasoning questions and answers require continuous practice to ensure understanding, inference, coherence and clarity.

## Mathematical Reasoning

Mathematical reasoning questions and answers based on BODMAS rules, simplification, brackets ( ( ), { }, [ ] ), matrices, sequence of numbers as well as division, multiplication, addition and subtraction under Mathematical Reasoning. Useful for all competitive exams like UPSC, IAS, PSC, SSC, Railway, Bank, All State Exam, and Defense Exam, you can get success in all exams by studying these questions.

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## Mathematical Reasoning Questions and Answers

** Q : **

**By interchanging the given two signs and numbers which of the following equation will be not correct? ÷ and ×, 1 and 3**

(A) 6 ÷ 3 – 1 + 4 × 2 = 5

(B) 4 × 3 – 1 + 8 ÷ 2 = 9

(C) 5 – 8 × 3 + 9 ÷ 1 = 24

(D) 6 + 4 – 9 × 3 ÷ 1 = –17

Correct Answer : B

**Q :**

After interchanging the given two numbers and two signs what will be the values of equation (I) and (II) respectively?

– and ×, 6 and 4

I. 7 × 6 + 8 ÷ 2 – 4

II. 4 – 7 × 6 + 8 ÷ 2

(A) 27, 42

(B) 27, 47

(C) 27, 49

(D) 25, 40

Correct Answer : A

**Q :**

By interchanging the given two signs and numbers which of the following equation will be not correct?

× and ÷, 2 and 6

I. 7 – 4 × 3 ÷ 6 + 2 = 8

II. 6 – 8 × 2 + 9 ÷ 3 = 5

(A) Only II

(B) Neither I nor II

(C) Only I

(D) Both I and II

Correct Answer : D

**Q :**

By interchanging the given two signs which of the following equation will be correct?

× and +

(A) 7 × 8 ÷ 9 + 18 – 11 = 16

(B) 24 – 8 – 5 × 5 + 3 = 14

(C) 5 × 10 – 15 + 20 ÷ 25 = 8

(D) 24 × 8 + 6 ÷ 3 – 18 = 22

Correct Answer : D

**Q :**

Which two numbers from amongst the given options should be interchanged to make the given equation correct?

248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77

(A) 8 and 4

(B) 184 and 77

(C) 184 and 248

(D) 4 and 6

Correct Answer : C

**Q :**

After interchanging the given two numbers and two signs what will be the values of equation (I) and (II) respectively?

× and ÷, 7 and 9

I. 8 × 3 ÷ 6 + 9 – 7

II. 9 – 7 × 1 + 6 ÷ 3

(A) 0, 8

(B) 14, 16

(C) 6, 9

(D) 10, 11

Correct Answer : B

**Q :**

If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression?

45 × 9 ÷ 12 – 5 + 3

(A) 34

(B) 27

(C) 36

(D) 62

Correct Answer : D

**Q :**

Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

33 * 4 * 15 * 3 * 61 = 188

(A) + × ÷ −

(B) × − ÷ +

(C) + − ÷ ×

(D) ÷ × − +

Correct Answer : B

**Q :**

By Interchanging the given two numbers which of the following equation will be not correct?

3 and 4

(A) 3 + 5 × 4 – 6 ÷ 2 = 16

(B) 4 × 6 – 3 + 9 ÷ 1 = 25

(C) 3 × 7 – 8 ÷ 2 + 4 = 27

(D) 9 × 3 ÷ 6 + 4 – 8 = 1

Correct Answer : B

**Q :**

If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression?

3 ÷ 6 + 3 – 4 × 4 = ?

(A) 8

(B) 5

(C) 6

(D) 4

Correct Answer : C